n n\,n is an integer and k k\,k is an integer constant. Prove algebraically that the sum of (n+k)(n+k−1)(n + k)(n + k - 1)(n+k)(n+k−1) and n+kn + kn+k is always a square number.
207 exam-style questions on OCR GCSE Maths Proof. Each one has a worked solution and a mark scheme showing where the marks go.